A Trapezoidal Rule for Nodal Integration of Linear Quadrilaterals in Plasticity
DOI:
https://doi.org/10.70567/mc.v41i10.55Palavras-chave:
Nodal Integration, Finite Elements, Plasticity, Bilinear QuadrilateralsResumo
In this work we present a nodal integrated linear quadrilateral, that is, with only integration points at the nodes of the element for plasticity applications. A trapezoidal rule is used instead of the classical Gaussian rules for the integration of the nonlinear stiffness matrix. In principle, this numerical integration rule should be discarded since it cannot exactly integrate the stiffness matrices, even in the limit when the element size becomes infinitesimal. However, the internal forces are correctly calculated and the element is convergent. Comparisons are shown with other formulations and the element appears to be very effective.
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